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if N is the algebraic difference of grades, S is the headlight sight distance in metres, then the transmission length of a valley curve (following standard codes) should roughly be equal to
  • a)
    NS2/6
  • b)
    NS2/9.6
  • c)
    NS2/4
  • d)
    NS2/10
Correct answer is option 'A'. Can you explain this answer?
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if N is the algebraic difference of grades, S is the headlight sight d...
The head light sight distance should be at least equal to SSD. If the vehicles are overtaking then length curve should be:
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if N is the algebraic difference of grades, S is the headlight sight d...
Transmission Length of a Valley Curve

The transmission length of a valley curve is the distance required for a driver to see an object in the roadway ahead and react to it. It is an important parameter in the design of highway curves.

Formula

The formula for the transmission length of a valley curve is:

TL = N * S^2 / 6

Where TL is the transmission length in meters, N is the algebraic difference of grades, and S is the headlight sight distance in meters.

Explanation

The transmission length of a valley curve depends on the grade of the roadway and the headlight sight distance. When the grade changes, the driver's sight distance changes accordingly. The algebraic difference of grades, N, is the difference between the initial and final grades of the curve.

The headlight sight distance, S, is the distance that the driver can see ahead of the vehicle using the headlights. It is affected by the height of the driver's eye above the roadway, the height of the object being viewed, and the angle of the headlight beam.

The formula TL = N * S^2 / 6 is derived from the time required for a driver to react to an object in the roadway. The time required is assumed to be 2.5 seconds. The distance traveled by the vehicle during this time is equal to the reaction time multiplied by the vehicle speed. The transmission length is calculated as the distance traveled by the vehicle during the reaction time plus the distance required for the vehicle to stop.

Conclusion

In conclusion, the correct answer to the question is option 'A', which is NS^2/6. This formula is derived from the time required for a driver to react to an object in the roadway, and it takes into account the grade of the roadway and the headlight sight distance.
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